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Finding the Fourth Proportional to 208,125.20, 311,842.20 and 178,403.60

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Solution

The fourth proportional to 208,125.20, 311,842.20 and 178,403.60 is: 267,309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,125.20 : 311,842.20 = 178,403.60 : x
  2. Step 2: Convert to fraction form
    208,125.20/311,842.20 = 178,403.60/x
  3. Step 3: Cross multiply
    208,125.20x = 311,842.20 × 178,403.60
  4. Step 4: Simplify right side
    208,125.20x = 55,633,771,111.92
  5. Step 5: Solve for x
    x = 55,633,771,111.92/208,125.20
  6. Step 6: Final answer
    x = 267,309.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.